10077258240 has 240 divisors, whose sum is σ = 39886786368. Its totient is φ = 2303336448.

The previous prime is 10077258211. The next prime is 10077258241. The reversal of 10077258240 is 4285277001.

10077258240 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 72 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10077258240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10077258195 and 10077258204.

It is not an unprimeable number, because it can be changed into a prime (10077258241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130039 + ... + 192521.

Almost surely, 2^10077258240 is an apocalyptic number.

10077258240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10077258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19943393184).

10077258240 is an abundant number, since it is smaller than the sum of its proper divisors (29809528128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10077258240 is an equidigital number, since it uses as much as digits as its factorization.

10077258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62519 (or 62500 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 10077258240 in words is "ten billion, seventy-seven million, two hundred fifty-eight thousand, two hundred forty".